Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
31st July 2021
- 1Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = a - 3b and vector RS = 2a - 6b. What does this show about PQ and RS?
- 2Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 10 wins. How many games did they play?
- 3Histograms2 marks
On a histogram, a 4-wide bar and a 12-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 4Bounds3 marks
A car covers 860 m (to the nearest 10 m) in 5 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 5Iteration3 marks
Use the iteration x(n+1) = cube root of (8x(n) + 6) with x(0) = 1. Work out x(1) to 3 decimal places.
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